Question

    In a company, 60% of the number of girls is equal to two -

    third of the total number of boys. When 40 new girls joined the company, then 25% of the number of girls became one - third of the number of boys. Before joining the new girl, what was the total strength (boys and girls) of the company?
    A 570 Correct Answer Incorrect Answer
    B 420 Correct Answer Incorrect Answer
    C 400 Correct Answer Incorrect Answer
    D 380 Correct Answer Incorrect Answer
    E 560 Correct Answer Incorrect Answer

    Solution

    In the company, let the number of girls be g and the number of boys be b
    Then, 60% of g = 2b/3
    3g/5 = 2b/3
    9g = 10b
    b/g = 9/10
    Let b be 9a, then g = 10a
    After going 40 new girls, 25% of (10a + 40) = 1*9a/3 = 3a
    3a - 2.5a = 10
    0.5a = 10
    a = 20
    Before joining the new girls, the strength of the company = 9a + 10a = 19a = 380

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